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## Homework Statement

[tex]

\begin{align*}

\vec{u} = 2 \hat{x} - 3 \hat{y} + \hat{z}

\vec{v} = \hat{x} - \hat{y} - \hat{z}

\end{align*}

[/tex]

Given a parallelogram that's vertex is at the

**origin (0,0,0)**and is created by two vectors

**u**and

**v**:

a) find where the fourth vertex is of the parallelogram

b) find the length of the two diagonals

## The Attempt at a Solution

a) since it's a parallelogram, the fourth point is at

**u**+

**v**= [tex]3 \hat{x} - 4 \hat{y} [/tex] ------- I'm not sure if the answer is supposed to be in this form or in form

**(3,-4,0)**

b) I'm not sure about this one. By length, do they mean distance? Should I use the distance formula between two points? Or do they possibly mean vector addition/subtraction?

Thanks!

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